A New Hyper-Chaotic Lü Attractor and Its Local Bifurcation Analysis

Abstract

The paper analyzes a new hyper-chaotic Lü attractor which has rich and complex dynamical behaviors, by utilizing Lyapunov exponent spectrum, bifurcation diagram and phase portraits. And the local bifurcation is investigated by the centre manifold theorem. With the variation of parameters, the system will undergo pitchfork bifurcation and Hopf bifurcation at zero equilibrium, respectively. Finally, numerical simulations are showed to verify the theoretical analyses.